中文摘要：

公理设计理论为系统设计提供了科学基础，同时也可为其他设计方法和工具提供概念框架。以公理设计对设计活动的指导为线索，在剖析其历史背景的基础上，对公理设计的理论概要进行归纳和简要评析，从而导出研究热点；从公理设计理论的扩展和完善、公理设计与其他设计方法的关系、耦合设计问题的处理以及基于公理设计的复杂性科学研究角度对公理设计的研究进展进行阐述说明，并展开细致深入的分析；综述了公理设计在产品设计、制造系统设计、材料及材料加工和设计评价与决策领域的典型应用情况；最后对公理设计研究目前所存在的问题和局限性进行分析，并展望了今后的研究重点和发展趋势。

英文摘要：

Axiomatic design （AD） has provided scientific basis for system design. It is also a conceptual framework for other design methods and tools. Firstly, along the track of AD guiding design, AD framework are summarized and analyzed after the review of AD＇s historical background, and the relevant research hotspots are pointed out. Secondly, the current research situation is summed up and discussed in detail in terms of extension and perfection of AD, relation between AD and other methods, processing of coupled design problem and complexity study based on AD. Then the applications of AD to product design, manufacturing system design, materials and material processing, evaluation and decision of design are introduced. Finally, some key points of research and development trends of AD in the future are prospected based on the analysis of existing problems and limitations.